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Simplifying 0.6(15c + 10) = 12c + -9 Reorder the terms: 0.6(10 + 15c) = 12c + -9 (10 * 0.6 + 15c * 0.6) = 12c + -9 (6 + 9c) = 12c + -9 Reorder the terms: 6 + 9c = -9 + 12c Solving 6 + 9c = -9 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 6 + 9c + -12c = -9 + 12c + -12c Combine like terms: 9c + -12c = -3c 6 + -3c = -9 + 12c + -12c Combine like terms: 12c + -12c = 0 6 + -3c = -9 + 0 6 + -3c = -9 Add '-6' to each side of the equation. 6 + -6 + -3c = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3c = -9 + -6 -3c = -9 + -6 Combine like terms: -9 + -6 = -15 -3c = -15 Divide each side by '-3'. c = 5 Simplifying c = 5
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